Please no 2 and 3

2. (20 pts) (use index notations to support your answer) How are [vw] and [wv] related? 3. (220pts) Verify a) ([uv][wz])=(uw)(vz)(uz)(vw)(30pts) b) [T]=[v](25pts) c) [v]=0(25pts) d) (wu)=u(w)w(u)(35pts) e) [v]=(v)2v(40pts) f) ([v])=(:v)+(v[]) is only valid when is symmetrical (45 pts) g) [{s}]=s(20pts) *note: k=13ijkmnk=imjninjm *by definition, (ij:1m)=imjl r and s in (a) are scalar fields, v and w in are vector fields, and is a tensor field